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Finding the Fourth Proportional to 10,133.40, 13,980.06 and 5,940.84

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Solution

The fourth proportional to 10,133.40, 13,980.06 and 5,940.84 is: 8,196.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.40 : 13,980.06 = 5,940.84 : x
  2. Step 2: Convert to fraction form
    10,133.40/13,980.06 = 5,940.84/x
  3. Step 3: Cross multiply
    10,133.40x = 13,980.06 × 5,940.84
  4. Step 4: Simplify right side
    10,133.40x = 83,053,299.65
  5. Step 5: Solve for x
    x = 83,053,299.65/10,133.40
  6. Step 6: Final answer
    x = 8,196.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.